Talk:3181: Jumping Frog Radius
firstQwertyuiopfromdefly (talk) 05:17, 16 December 2025 (UTC)
Question: Would a correct interpretation be "if a champion jumping frog were to be located just under 1.5 light-days from earth, and if there we're no other gravitational bodies nearby, and if said frog then performed its mightiest jump directly away from earth, then the frog would eventually be overcome by Earth's gravitational field and would eventually land on Earth's surface"? Pgn674 (talk) 06:26, 16 December 2025 (UTC)
- I guess that is exactly how it should be interpreted. Or more interesting if it was just outside this radius and somehow could gain exactly 4,5 m/s extra speed then it would escape Earth (if there was anything to push of against that was heavy enough to move basically only the frog forward, then that would change the mass behind the frog so... That was why I wrote gain exactly rather than jump). --Kynde (talk) 07:36, 16 December 2025 (UTC)
- or its mightiest jump in any direction (that doesn't cause it to crash through the Earth) since the escape speed is the same in all directions (relevant xkcd:https://what-if.xkcd.com/68/ ) --178.197.223.163 09:21, 16 December 2025 (UTC)
Zabadoh (talk) 08:20, 16 December 2025 (UTC)The only two variables are rjf and M, so plotting a 2 axis graph plotting the relationship between M and rjf should be possible.
As frogs usually collect on the surface of worlds [citation needed], the *surface* escape velocity is most important. The crossover point for a planet with earth-like density (5515 kg/m³) is 2.6km, above that, the rjf falls below the surface, and the planet can accumulate frogs. Smaller bodies are, however, usually less dense; an interesting borderline candidate is Chicxulub, which had an rjf of 3-4km, and a radius of 5-6km so could have just about held onto its frogs, for a while at least. JeffUK (talk) 10:04, 16 December 2025 (UTC)
It would be interesting to look at the Rjf values of a frog, to consider where new limits are put upon the frog for M-masses that aren't totally dominating the scenario of "frog leaves mass"... 82.132.237.93 11:03, 16 December 2025 (UTC)
